Existence results for differential equations with reflection of the argument-Reference-Cited by-同舟云学术

Existence results for differential equations with reflection of the argument

Published:1994-10 Issue:2 Volume:57 Page:237-260
ISSN:0263-6115
Container-title:Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics
language:en
Short-container-title:J Aust Math Soc A

Author:

O'Regan Donal

Abstract

AbstractExistence principles are given for systems of differential equations with reflection of the argument. These are derived using fixed point analysis, specifically the Nonlinear Alternative. Then existence results are deduced for certain classes of first and second order equations with reflection of the argument.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics,Statistics and Probability

Reference16 articles.

1. [16] Przeworska-Rolewicz D. , ‘Equations with transformed argument – an algebraic approach’ (Panstwowe Wydawnictwo Naukowe, Warsaw, 1973).

2. Existence Results for Differential Delay Equations, I

3. Topological transversality. Applications to initial-value problems

4. Boundary value problems for differential equations in Hilbert spaces involving reflection of the argument

5. On a generalization of a theorem of S. Bernstein

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